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226231737413472 = 25347217295368171
BaseRepresentation
bin110011011100000110101110…
…010110000110111101100000
31002200000112122202110110020000
4303130012232112012331200
5214123040044234212342
62121053231515420000
765436463231352100
oct6334065626067540
91080015582413200
10226231737413472
11660a2382a1446a
1221459287154600
13993073b23266b
143dc1962c21200
151b24c1775044c
hexcdc1ae586f60

226231737413472 has 1440 divisors, whose sum is σ = 863762470290720. Its totient is φ = 57628548956160.

The previous prime is 226231737413377. The next prime is 226231737413483. The reversal of 226231737413472 is 274314737132622.

226231737413472 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 31 + 73 + 74 + 1 + 3 + 472 = 666.

226231737413472 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3318557947 + ... + 3318626117.

It is an arithmetic number, because the mean of its divisors is an integer number (599835048813).

Almost surely, 2226231737413472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 226231737413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431881235145360).

226231737413472 is an abundant number, since it is smaller than the sum of its proper divisors (637530732877248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

226231737413472 is a wasteful number, since it uses less digits than its factorization.

226231737413472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68306 (or 68282 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 54.

The spelling of 226231737413472 in words is "two hundred twenty-six trillion, two hundred thirty-one billion, seven hundred thirty-seven million, four hundred thirteen thousand, four hundred seventy-two".